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Finding the Fourth Proportional to 165,920.64, 228,970.71 and 90,469.14

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Solution

The fourth proportional to 165,920.64, 228,970.71 and 90,469.14 is: 124,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,920.64 : 228,970.71 = 90,469.14 : x
  2. Step 2: Convert to fraction form
    165,920.64/228,970.71 = 90,469.14/x
  3. Step 3: Cross multiply
    165,920.64x = 228,970.71 × 90,469.14
  4. Step 4: Simplify right side
    165,920.64x = 20,714,783,218.89
  5. Step 5: Solve for x
    x = 20,714,783,218.89/165,920.64
  6. Step 6: Final answer
    x = 124,847.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.